169k views
3 votes
In the picture down below

In the picture down below-example-1
User AmirX
by
4.2k points

1 Answer

5 votes

Answer: Choice D.
f^(-1)(x) = (6x+2)/(3)

Work Shown:

The idea is that you replace f(x) with y, swap x and y, then solve for y to get the inverse.


f(x) = (3x-2)/(6)\\\\y = (3x-2)/(6)\\\\x = (3y-2)/(6)\\\\6x = 3y-2\\\\3y-2 = 6x\\\\3y = 6x+2\\\\y = (6x+2)/(3)\\\\f^(-1)(x) = (6x+2)/(3)\\\\

User Jaskiratjd
by
4.8k points